[Jan 11] Extend the proof of the fractional bi-partite matching problem to the b-matching problem. Compare with the analysis of
Kalyanasundaram and Pruhs.

[Jan 11, more challenging] Extend the proof of the fractional bi-partite matching problem to the fractional budgeted allocation problem.
Compare with the analysis of
Mehta, Saberi, Vazirani and Vazirani.